Discrete Structures, ty 8. Given the function f(x) = x, isf reflexive? Explain. Is it non-reflexive? Explain or demonstrate your answers.

Q: 1. For the function f(-x) = 1-- find the following: (* + 2)2 (i) f(-x) _(ii) f (x + k)

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Q: 140 F1 20 At what time does the child: A. Begin to fill the pail? t = B. Finish filling the pail? t ...

A: We will use the property of derivative of V(t) to make interpretation about V(t) When filling starts...

Q: A team wants to build two types of cups. Food Steel costs $15 USD minimum unit and Glass $10 USD min...

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Q: L 12 ] = ? (s-3)+ %3D

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: The Para lledogram has vetices at A (2, -1, 4) B(1,0,-1) C(1,2,3) and D. find The coo rdin atates of...

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Q: – 1 (f •g)- = g-1 •f-17

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Q: Is the following grammar ambiguous? Justify your answer. S → aSb|bSa|SS|A

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Q: Based on market data, a shoe company estimates that the relationship between the price, p, of a pair...

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Q: Show the function f1(x) is primitive recursive. f1(x) returns n if factorial(n) = x but returns 0 if...

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Q: a 3. Let |A|| d e f = 8. Find the determinant of the following matrix. Explain your g h i answer. h ...

A: Given |A| = abcdefghi = 8

Q: b) Is f one-to-one? Answer yes or no and explain. Do not just quote the definition, but give a reaso...

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Q: (a) If z = w-2z, show, without breaking into real and imaginary parts, that 3z (Hint: take conjugate...

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Q: Assume that {|a), [b), |c)} forms an orthonormal basis in C3 and I4) =la) – i b) +lc) is given. | 15...

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Q: Test the series for convergence or divergence using the Alternating Series Test. n2 E(-1)". n3 + 9 n...

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Q: 2. Why is (f •g)-' = g¯' of-1? Explain your answer, show mathematical reasoning. (You MUST include a...

A: As we know hoh-1(x) = I(x) 

Q: Find the first 4 terms of the Taylor series for the following functions: a. Inx centered at a = 1 b....

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Q: Let F, denote the nth Fibonacci number (F1 = F2 = 1, Fn+2 Fn+1 + Fn for n > 1). Use %3D induction to...

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Q: Solve the following S-L problem y"(x) + Ay(x) = 0, y (0) = 0, y(L) = 0.

A: Given that, y''x+λyx=0y'0=0yL=0 We consider three cases according to λ so that we can get non-trivia...

Q: Solve the following S-L problem y"(x) + Ay(x) = 0, y'(0) = 0, ul L) -0

A: This is a Sturm Liouville problem.

Q: Use polar coordinates to find the volume  Enclosed by the hyperboloid  −x2 − y2 + z2 = 46  and the p...

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Q: A single line divides a plane into two regions, two lines can divide a plane into four regions, and ...

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Q: 2. Determine the Laplace transform of the following functions. Here you may use common identities an...

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Q: To find the inverse transforms, first express the given function of s into partial fractions which w...

A: We have to find the inverse Laplace transformation.

Q: 5. Find the solution u(x, t) of uzz = ut, 0 0, which satisfies the boundary conditions u, (0, t) = u...

A: We solve the problem by the method of saperation of variable. In this method we consider the solutio...

Q: Find the integral of the function f(x,y, z) = x² + y – 2z surface of the unit sphere. over the

A: To find- Find the integral of the function fx, y, z = x2 + y - 2z over the surface of the unit spher...

Q: 3. Express the general solution in terms of Bessel functions: x?y" + 4xy + (æ² + 2)y = 0

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Q: Question 6 8(x,z) = 2xz+3z-x X-Z Let f(x,z)= Z. 2z2–3 Blank 1: Find the total differential of f(x,z)...

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Q: Math 1314 Student Name LAB 4 Section Hoong Tien Le Theng For each of the following problems, show al...

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Q: Prove that if æ is a real number, then [2a] = [x] +

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Q: question 1 find the x-value(s) where the graph of the function has a horizontal tangent line. f(x) =...

A: Note: We know that A horizontal line has slope zero since it does not rise vertically.  Also, the sl...

Q: urve: f(x) = x4 − 6x2

A: Given,          f(x)=x4-6x2

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 7 Σ k! k = 1 Identify...

A: Solution:-

Q: To find the inverse transforms, first express the given function of s into partial fractions which w...

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Q: Question 2: (a) Find all 2 x 2 symmetric matrices that commute with the matrix B = (b) Find all 2 x ...

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Q: Problem 1.  Evaluate the following expressions:     (a) 8  (mod 3) =  (d) 22  (mod 11) =      ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: 1 -5 -7 Let T be defined by T() = = Ax where A Then -3 7 T: R" → R™ is a linear transformation with ...

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Q: Multiple Choice: log. is equivalent to A. 1- log, y C. -3 log, y B. 1+ log, y D. 3 log, y

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Q: Find the solution of t y" + 11y' + 24y = 70 e-1 with y(0) = 7 and y' (0) = 6. y =

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Q: f(t) = u(t)+ (sint- 1) u(t- -))-(sint + 1). 미t +u(t – 27) %3D

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Q: Let T : R? → R² be a linear transformation. Consider two bases B and D of the vector space R?, [:] -...

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Q: In order to save for her high school graduation, Ruby decided to save Php 200.00 at the end of each ...

A: Given, periodic payment is P=200 interest rate R=0.1212year-1 number of years is B=6 and number of p...

Q: [1] Determine the orthogonal trajectories of y(1+2x?)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1)

Q: 4. Find a Cauchy-Euler differential equation aa?y" + bæy + cy = 0, where a, b, and c are real consta...

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Q: Power Series 1. у"-у %3D 9 у'(0)-1,y(0)-0

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Q: (2) Let aj = (1,2, -1), a2 = (3,0, 1) and bị = (-1, 10, 7), b2 = (1, 2, 0) in R³. %3D (a) Is a, in S...

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Q: Use the formula for the binomial series: (1 + x)" = 1+ mx + ² + … + m(m-1). m(m-1)--(m-k+1), + %3D ....

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Q: 1. Give an example of a function that is one-to-one but not onto. Give an example of a function that...

A: An example of a function that is one to one but not onto b) an function that is not one to one but o...

Q: If u- i+ j+ k, v= 10 i +4j+6 k, y w= 8 i+9j+7 k, evaluate the dot triple product (u x v) - W. 86 -10...

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Q: all country with a population of 7,000,000 consists of four states, A, B, C, and D. There are 140 se...

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